40152605064 has 128 divisors (see below), whose sum is σ = 117999866880. Its totient is φ = 11224915200.

The previous prime is 40152605029. The next prime is 40152605093. The reversal of 40152605064 is 46050625104.

It is a super-2 number, since 2×40152605064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10935949 + ... + 10939619.

It is an arithmetic number, because the mean of its divisors is an integer number (921873960).

Almost surely, 2^40152605064 is an apocalyptic number.

40152605064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40152605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58999933440).

40152605064 is an abundant number, since it is smaller than the sum of its proper divisors (77847261816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40152605064 is a wasteful number, since it uses less digits than its factorization.

40152605064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 40152605064 in words is "forty billion, one hundred fifty-two million, six hundred five thousand, sixty-four".